For me it was around 1995 .
I saw a pc running VESA games like Little Big Adventure , then of course it was all the CD-ROM based games with speech like indiana jones & fate of Atlantis , plus the FPS's .
I realised my old standard A500 plus was over the hill and i bought a 486DX2/66Mhz with 4mb Ram , 420mb HD and SB16 .
2 Years later i regretted selling my Amiga and bought 2 broken A500's and used them to make 1 working one :-)
Luckily i still had nearly all my Amiga games & software and even my Action Replay III